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Finding the Fourth Proportional to 13,304.96, 19,957.28 and 4,546

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Solution

The fourth proportional to 13,304.96, 19,957.28 and 4,546 is: 6,818.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,304.96 : 19,957.28 = 4,546 : x
  2. Step 2: Convert to fraction form
    13,304.96/19,957.28 = 4,546/x
  3. Step 3: Cross multiply
    13,304.96x = 19,957.28 × 4,546
  4. Step 4: Simplify right side
    13,304.96x = 90,725,794.88
  5. Step 5: Solve for x
    x = 90,725,794.88/13,304.96
  6. Step 6: Final answer
    x = 6,818.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.